mathematical transformations

Mathematical transformations are methods used to change a shape, function, or data from one form to another while preserving certain properties. They include operations like shifting (moving), resizing (scaling), rotating, or flipping objects. For example, translating moves an object without changing its size or shape, while scaling adjusts its size. Transformations help us analyze and manipulate mathematical objects to understand their structure, solve problems, and visualize concepts more effectively. Think of them as tools that reshape or reposition figures and functions to reveal new insights or simplify complex scenarios.